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The goalie's expected payoff of diving right is now q *0 + ( 1-q )*(-10), and the expected payoff of diving left is now q
The goalie's expected payoff of diving right is now q*0 + (1-q)*(-10), and the expected payoff of diving left is now q*(-10) + (1-q)*0.
What are the steps to solve for these expected payoffs? Walking me through the algebra would be helpful. The answer for the expected payoff of diving left is supposed to be: 10q-10 and the expected payoff of diving right is supposed to be -10q. I just do not how to arrive at that answer.
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